Approximation-based adaptive neural control design for a class of nonlinear systems

IEEE Transactions on Cybernetics

Volumn 44, Issue 5, 2014, Pages 610-619

  Chen, Bing ^a   Liu, Kefu ^b   Liu, Xiaoping ^b   Shi, Peng ^c,d   Lin, Chong ^a   Zhang, Huaguang ^e  

^a University of Qingdao   (China)

^b LAKEHEAD UNIVERSITY   (Canada)

^c UNIVERSITY OF ADELAIDE   (Australia)

^d VICTORIA UNIVERSITY   (Australia)

^e NORTHEASTERN UNIVERSITY   (China)

Author keywords

Adaptive neural control; function approximation technique; nonlinear systems; radial basis function neural networks

Indexed keywords

NONLINEAR SYSTEMS;

ADAPTIVE BACK-STEPPING; ADAPTIVE NEURAL CONTROL; BOUNDING FUNCTIONS; FUNCTION APPROXIMATION TECHNIQUES; NON-STRICT-FEEDBACK; RADIAL BASIS FUNCTION NEURAL NETWORKS; STRUCTURAL CHARACTERISTICS; VARIABLE SEPARATION METHOD;

BACKSTEPPING;

ARTIFICIAL NEURAL NETWORK; FEEDBACK SYSTEM; NONLINEAR SYSTEM;

FEEDBACK; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS;

EID: 84899070687     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCYB.2013.2263131     Document Type: Article

References (40)

1. B. Chen, X. P. Liu, K. F. Liu, and C. Lin, "Direct adaptive fuzzy control of nonlinear strict-feedback systems," Automatica, vol. 45, no. 6, pp. 1530-1535, 2009.
2. B. Chen, X. P. Liu, and S. Tong, "Adaptive fuzzy output tracking control of mimo nonlinear systems by backstepping approach," IEEE Trans. Fuzzy Syst., vol. 15, no. 2, pp. 287-300, Apr. 2007. (Pubitemid 46563428)
3. B. Chen, X. Liu, K. Liu, P. Shi, and C. Lin. "Direct adaptive fuzzy control for nonlinear systems with time-varying delays," Information Sci., vol. 180, no. 5, pp. 776-792, 2010.
4. S. S. Ge, F. Hong, and T. H. Lee, "Adaptive neural network control of nonlinear systems with unknown time delays," IEEE Trans. Automatic Control, vol. 48, no. 11, pp. 2004-2010, Nov. 2003.
5. S. S. Ge, F. Hong, and T. H. Lee. "Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients," IEEE Trans. Syst., Man, Cybern., vol. 34, no. 1, pp. 499-516, Feb. 2004.
6. S. S. Ge, C. C. Huang, T. H. Lee, and T. Zhang, Stable Adaptive Neural Networks Control. Boston, MA, USA: Kluwer Academic, 2001.
7. S. S. Ge and K. P. Tee, "Approximation-based control of nonlinear MIMO time-delay systems," Automatica, vol. 43, no. 1, pp. 31-43, 2007. (Pubitemid 44792031)
8. S. S. Ge and C. Wang, "Adaptive neural control of uncertain MIMO nonlinear systems," IEEE Trans. Neural Netw., vol. 15, no. 3, pp. 674-692, May 2004.
9. S. S. Ge and C. Wang, "Adaptive NN control of uncertain nonlinear pure-feedback systems," Automatica, vol. 38, no. 4, pp. 671-682, 2002. (Pubitemid 34141010)
10. F. Gomez-Estern, A. Barreiro, J. Aracil, and F. Gordillo. "Robust generation of almost-periodic oscillztions in a calss of nonlinear systems," Int. J. Robust Nonlinear Control, vol. 16, no. 18, pp. 863-890, 2006. (Pubitemid 44904790)
11. D. W. C. Ho, J. Li, and Y. G. Niu. "Adaptive neural control for a class o f nonlinearly parametric time-delay systems," IEEE Trans. Neural Netw., vol. 16, no. 3, pp. 625-635, May 2005. (Pubitemid 40718008)
12. C. C. Hua and X. P. Guan, "Output feedback stabilization for time-delay nonlinear inerconnected systems using neural network," IEEE Trans. Neural Netw., vol. 19, no. 4, pp. 673-688, Apr. 2008.
13. C. C. Hua, X. P. Guan, and P. Shi, "Robust output feedback tracking control for time-delay nonlinear systems using neural network," IEEE Trans. Neural Netw., vol. 18, no. 2, pp. 495-505, Mar. 2007. (Pubitemid 46522571)
14. C. C. Hua and Q. G.Wang, "Robust adaptive control design for nonlinear time-delay systems via T-S fuzzy approach," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 901-910, Aug. 2009.
15. T. S. Li, S. C. Tong, and G. Feng, "A novel robust adaptive fuzzy tracking control for a class of nonlinear MIMO systems," IEEE Trans. Fuzzy Syst., vol. 18, no. 1, pp. 150-160, Feb. 2010.
16. T. S. Li, D. Wang, G. Feng, and S. C. Tong, "A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems," IEEE Trans. Syst., Man, Cybern. B Cybern., vol. 40, no. 3, pp. 915-923, Jun. 2010.
17. Y. J. Liu, W. Wang, and S. C. Tong, "Robust adaptive tracking control for nonlinear systems based on bounds of fuzzy approximation parameters," IEEE Trans. Syst., Man, Cybern., A Syst. Humans, vol. 40, no. 1, pp. 170-184, Jan. 2010.
18. Y. Niu, J. Lam, and X. Wang, "Adaptive H? control using backstepping and neural networks," J. Dynamic Syst. Meas. Control, vol. 127, no. 3, pp. 313-326, 2005.
19. R. M. Sanner and J. E. Slotine, "Gaussian networks for direct adaptive control," IEEE Trans. Neural Netw., vol. 3, no. 6, pp. 837-863, Dec. 1992.
20. S. C. Tong and H. X. Li, "Fuzzy adaptive sliding-mode control for MIMO nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 11, no. 3, pp. 354-360, Jun. 2003.
21. S. C. Tong, X. L. He, and H. G. Zhang. "Combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1059-1069, Oct. 2009.
22. S. C. Tong, H. X. Li, and G. R. Chen, "Adaptive fuzzy control for decentralized control for a class of large-scale nonlinear systems," IEEE Trans. Syst., Man, Cybern., vol. 34, no. 3, pp. 770-775, Jun. 2004.
23. S. Tong, W. Wang, and L. Qu, "Decentralized robust control for uncertain t-s fuzzy large-scale systems with time-delay," Int. J. Innovative Comput. Inform. Control, vol. 3, no. 3, pp. 657-672, 2007.
24. C. Wang and D. J. Hill, "Learning from neural control," IEEE Trans. Neural Netw., vol. 17, no. 1, pp. 130-146, Jan. 2006. (Pubitemid 43263946)
25. C. Wang, D. J. Hill, S. S. Ge, and G. R. Chen, "An ISS-modular approach for adaptive neural control of pure-feedback systems," Automatica, vol. 42, no. 5, pp. 723-731, 2006.
26. D. Wang and J. Huang, "Adaptive neural network control for a class of uncertain nonlinear systems in pure-feedback form," Automatica, vol. 38, no. 8, pp. 1365-1372, 2002. (Pubitemid 34623687)
27. D. Wang and J. Huang, "Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form," IEEE Trans. Neural Netw., vol. 16, no. 1, pp. 195-202, Jan. 2005. (Pubitemid 40241920)
28. M. Wang, B. Chen, and P. Shi, "Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems," IEEE Trans. Syst., Man, Cybern., B Cybern., vol. 38, no. 3, pp. 721-730, Jun. 2008. (Pubitemid 351796153)
29. M. Wang, B. Chen, X. Liu, and P. Shi, "Adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear time-delay systems," Fuzzy Sets Syst., vol. 159, no. 8, pp. 949-967, 2008.
30. Y. S. Yang, G. Feng, and J. S. Ren, "A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems," IEEE Trans. Syst., Man, Cybern., A Syst. Humans, vol. 34, no. 3, pp. 406-420, May 2004.
31. B. Yao and M. Tomizuka, "Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form," Automatica, vol. 33, no. 5, pp. 893-900, 1997. (Pubitemid 127413706)
32. B. Yao and M. Tomizuka, "Adaptive robust control of MIMO nonlinear systems in semi-strict feedback forms," Automatica, vol. 37, no. 9, pp. 1305-1321, 2001. (Pubitemid 32691027)
33. S. J. Yoo, J. B. Park, and Y. H. Choi, "Adaptive output feedback control of flexible-joint roobts using neural networks: Dynamic surface design approach," IEEE Trans. Neural Netw., vol. 19, no. 10, pp. 1712-1726, Oct. 2008.
34. S. J. Yoo, J. B. Park, and Y. H. Choi, "Adaptive neural control for a class of strict-feedback nonlinear systems with state time-delays," IEEE Trans. Neural Netw., vol. 20, no. 7, pp. 1209-1215, Jul. 2009.
35. J. P. Yu, Y. M. Ma, B. Chen, and H. S. Yu, "Adaptive fuzzy backstepping position tracking control for a permanent magnet synchronous motor," Int. J. Innovative Comput. Inform. Control, vol. 7, no. 4, pp. 1589-1602, 2011.
36. J. P. Yu, Y. M. Ma, B. Chen, H. S. Yu, and S. F. Pan, "Adaptive neural position tracking control for induction motors via backstepping," Int. J. Innovative Comput. Inform. Control, vol. 7, no. 7B, pp. 4503-4516, 2011.
37. T. Zhang, S. S. Ge, and C. Huang, "Adaptive neural network control for strict-feedback nonlnear systems using backstepping design," Automatica, vol. 36, no. 12, pp. 1835-1846, 2000.
38. H. G. Zhang and D. R. Liu, Fuzzy Modeling and Fuzzy Control. Boston, MA, USA: Birkhauser, 2006.
39. H. G. Zhang and Z. L. Wang, "Chaotifying fuzzy hyperbolic model using adaptive inverse optimal control approach," Int. J. Bifurcation Chaos, vol. 14, no. 4, pp. 3501-3517, 2004.
40. S. S. Zhou, G. Feng, and C. B. Feng, "Robust control for a class of uncertain nonlinear systems: Adaptive fuzzy approach based on backstepping," Fuzzy Sets Syst., vol. 22, no. 12, pp. 22-23, May 2005.